Double rotations are the simplest subclass of interval translation mappings. A double rotation is of finite type if its attractor is an interval and of infinite type if it is a Cantor set. It is easy to see that the restriction of a double rotation…
Categoria evento: Dynamical Systems Seminar
Piecewise affine homeomorphisms of the circle and dilation surfaces – Selim Ghazouani (Université d’Orsay, France)
In this talk I will consider the following question: if one picks a piecewise affine map of the circle “at random”, what dynamical behaviour are we likely to observe? The case of standard circle diffeomorphisms has been studied by Herman in the 80s;…
Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems – Tanja Schindler (Scuola Normale Superiore)
We are interested in the limit behaviour of Birkhoff sums over an infinite sigma-finite measure space. If the observable is integrable then — by a classical theorem by Aaronson — there exists no sequence of real numbers such that the Birkhoff sum…
Looking at Euler flows through a contact mirror: Universality and Turing completeness – Eva Miranda and Daniel Peralta-Salas (Universitat Politècnica de Catalunya and Instituto de Ciencias Matemáticas, Spain)
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao launched a programme to address the global existence problem for the Euler and Navier Stokes equations based on the…
Billiards in subriemannian geometry – Álvaro del Pino Gómez (Utrecht University)
When one considers manifolds with boundary, billiard dynamics are the natural analogue of standard geodesic dynamics. Namely, instead of having geodesics escape at the boundary, we force them back into the manifold using the reflection law. In other…
Infinite mixing for accessible skew products – Paolo Giulietti (Università di Pisa)
I will present some decay of correlations results on skew products which are locally accessible. The results rely on the study of a twisted transfer operator and could be generalized to many other situations. I will also present numerical…
Birkhoff-Poritsky conjecture for centrally-symmetric billiards – Misha Bialy (Tel Aviv University (Israel))
In this talk I shall discuss Birkhoff-Poritsky conjecture for centrally-symmetric C^2-smooth convex planar billiards. We assume that the domain A between the invariant curve of 4-periodic orbits and the boundary of the phase cylinder is foliated by…
Hyperbolic motion in the Newtonian N-body problem with arbitrary limit shape – Andrea Venturelli (Université d’Avignon, France)
We prove for the N-body problem the existence of hyperbolic motions for any prescribed limit shape and any given initial configuration of the bodies. The energy level h>0 of the motion can also be chosen arbitrarily. Our approach is based on the…
Locating Ruelle-Pollicott resonances – Carlangelo Liverani (Università di Roma Tor Vergata)
We study the spectrum of transfer operators associated to various dynamical systems. Our aim is to obtain precise information on discrete spectrum. To this end we propose a unitary approach. We consider various settings where new information can be…
Infinite entropy for transcendental entire functions – Anna Miriam Benini (Università di Parma)
Defining entropy on noncompact metric spaces is a tricky business, since there are several natural and nonequivalent generalizations of the usual notions of entropy for continuous maps on compact spaces. By defining entropy for transcendental maps…